MULTIPLE SOLUTIONS FOR A KIRCHHOFF-TYPE PROBLEM INVOLVING NONLOCAL FRACTIONAL p-LAPLACIAN AND CONCAVE-CONVEX NONLINEARITIES

被引：3
|
作者：
Chu, Chang-Mu [1 ]
Sun, Jiao-Jiao [1 ]
Cai, Zhi-Peng [1 ]
机构：
[1] Guizhou Minzu Univ, Sch Data Sci & Informat Engn, Guiyang, Guizhou, Peoples R China
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2017年 / 47卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Kirchhoff-type problem; fractional p-Laplacian; concave-convex nonlinearities; sign-changing weight functions; Nehari manifold; NEHARI MANIFOLD; ELLIPTIC EQUATION; POSITIVE SOLUTIONS; OPERATORS; EXISTENCE; DRIVEN;
D O I：
10.1216/RMJ-2017-47-6-1803
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper examines a class of Kirchhoff nonlocal operators involving concave-convex nonlinearities and sign-changing weight functions. With the aid of the Nehari manifold, the existence of multiple nontrivial nonnegative solutions is obtained.
引用
收藏
页码：1803 / 1823
页数：21
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